Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5101/73,1821/376
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5101,1821
Greatest Common Factor of Numerators i.e. GCF of 5101,1821 is 1 .
LCM of Denominators means LCM of 73,376 as per the given fractions.
LCM of 73,376 is 27448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5101,1821
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5101
List of positive integer factors of 5101 that divides 5101 without a remainder.
1,5101
Factors of 1821
List of positive integer factors of 1821 that divides 1821 without a remainder.
1,3,607,1821
Greatest Common Factor
We found the factors 5101,1821 . The biggest common factor number is the GCF number.
So the greatest common factor 5101,1821 is 1.
Lets's calculate LCM of 73,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 27448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27448
Therefore, the GCF of Fractions 5101/73,1821/376 is 1/27448
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 73,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,376) x common factors =1 x 1 = 1
LCM(73,376) = ( 73 × 376 ) / 1
LCM(73,376) = 27448 / 1
LCM(73,376) = 27448
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 5101/73, 1821/376?
Answer: GCF of Numerators as per given numbers 5101/73, 1821/376 is
GCF of Numerators i.e. for 5101,1821 is 1
LCM of denominators i.e. for 73,376 is 27448.
Thus, GCF of Fractions is 1/27448.Finally, GCF of Fractions for 5101/73, 1821/376 is 1/27448.